ESTIMATION OF DIFFERENCE FROM H$\ddot{O}$LDER'S INEQUALITY
ESTIMATION OF DIFFERENCE FROM HÄOLDER'S INEQUALITY
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2010, v.17 no.2, pp.189-197
Kim, Yong-In
(DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN)
Kim, Yong-In.
(2010). ESTIMATION OF DIFFERENCE FROM H<TEX>$\ddot{O}$</TEX>LDER'S INEQUALITY, 17(2), 189-197.
Abstract
We give an upper bound for the estimation of the difference between both sides of the well-known H$\ddot{o}$lder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of H$\ddot{o}$lder's inequality is also obtained. The results of this paper are natural generalizations and refinements of those of [2-4].
- keywords
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H<tex> $\ddot{o}$</tex>lder's inequality,
concave function,
estimation of difference